A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria
The dimension of the conservative chaotic systems is an integer and equals the system dimension, which brings about a better ergodic property and thus have potentials in engineering application than the dissipative systems. This paper investigates the phenomenon of megastability in a unique and simp...
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Wiley
2020
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| Truy cập trực tuyến: | https://dlib.phenikaa-uni.edu.vn/handle/PNK/582 https://doi.org/10.1155/2020/9260823 |
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oai:localhost:PNK-5822022-08-17T05:54:38Z A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria Theophile Fonzin Fozin Jacques Kengne Alexis Nguomkam Negou Zeric Tabekoueng Njitacke Viet-Thanh Pham Sajad Jafari Infinite Hyperbolic Nonhyperbolic Equilibria Novel Megastable Hamiltonian System The dimension of the conservative chaotic systems is an integer and equals the system dimension, which brings about a better ergodic property and thus have potentials in engineering application than the dissipative systems. This paper investigates the phenomenon of megastability in a unique and simple conservative oscillator with infinite of hyperbolic and nonhyperbolic equilibria. Using traditional nonlinear analysis tools, we found that the introduced oscillator possesses an invariable energy and displays either self-excited or hidden dynamics depending on the stability of its equilibria. Besides, the conservative nature of the new system is validated using theoretical measurement. Furthermore, an analog simulator of the oscillator is built and simulated in the PSpice environment to confirm that the previous results were not artifacts. 2020-10-13T04:03:13Z 2020-10-13T04:03:13Z 2020 Article https://dlib.phenikaa-uni.edu.vn/handle/PNK/582 https://doi.org/10.1155/2020/9260823 en application/pdf Wiley |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
Infinite Hyperbolic Nonhyperbolic Equilibria Novel Megastable Hamiltonian System |
| spellingShingle |
Infinite Hyperbolic Nonhyperbolic Equilibria Novel Megastable Hamiltonian System Theophile Fonzin Fozin Jacques Kengne Alexis Nguomkam Negou Zeric Tabekoueng Njitacke Viet-Thanh Pham Sajad Jafari A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria |
| description |
The dimension of the conservative chaotic systems is an integer and equals the system dimension, which brings about a better ergodic property and thus have potentials in engineering application than the dissipative systems. This paper investigates the phenomenon of megastability in a unique and simple conservative oscillator with infinite of hyperbolic and nonhyperbolic equilibria. Using traditional nonlinear analysis tools, we found that the introduced oscillator possesses an invariable energy and displays either self-excited or hidden dynamics depending on the stability of its equilibria. Besides, the conservative nature of the new system is validated using theoretical measurement. Furthermore, an analog simulator of the oscillator is built and simulated in the PSpice environment to confirm that the previous results were not artifacts. |
| format |
Article |
| author |
Theophile Fonzin Fozin Jacques Kengne Alexis Nguomkam Negou Zeric Tabekoueng Njitacke Viet-Thanh Pham Sajad Jafari |
| author_facet |
Theophile Fonzin Fozin Jacques Kengne Alexis Nguomkam Negou Zeric Tabekoueng Njitacke Viet-Thanh Pham Sajad Jafari |
| author_sort |
Theophile Fonzin Fozin |
| title |
A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria |
| title_short |
A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria |
| title_full |
A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria |
| title_fullStr |
A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria |
| title_full_unstemmed |
A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria |
| title_sort |
novel megastable hamiltonian system with infinite hyperbolic and nonhyperbolic equilibria |
| publisher |
Wiley |
| publishDate |
2020 |
| url |
https://dlib.phenikaa-uni.edu.vn/handle/PNK/582 https://doi.org/10.1155/2020/9260823 |
| _version_ |
1751856283380613120 |
| score |
8.891695 |